You've made some good points here, especially in regard to the fact that empirically a lot of people do seem to think that the poor don't care about money, and could have been answering the question in that context. I have to update my estimate that the change would not be that large if phrased explicitly in a way that emphasized utility of a dollar. My previous estimate was around 70% that the numbers for both would stay within +/- 10 percent or so (so the liberal/progressive "incorrect" response would be some level below 14% and the conservative/libertarian "incorrect" response would be around 21-41%). Given your arguments I still suspect this is true but need to reduce my confidence by quite a bit, to around 55% or so. So I'd still be willing to put even money on this. But I probably need to think about this more and update further.
A article in the Atlantic, linked to by someone on the unofficial LW IRC channel caught my eye. Nothing all that new for LessWrong readers, but still it is good to see any mention of such biases in mainstream media.
I break here to comment that I don't see why we would expect this to be so given the reality of academia.